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Finding the Fourth Proportional to 9,940.30, 13,716.94 and 5,464.24

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Solution

The fourth proportional to 9,940.30, 13,716.94 and 5,464.24 is: 7,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.30 : 13,716.94 = 5,464.24 : x
  2. Step 2: Convert to fraction form
    9,940.30/13,716.94 = 5,464.24/x
  3. Step 3: Cross multiply
    9,940.30x = 13,716.94 × 5,464.24
  4. Step 4: Simplify right side
    9,940.30x = 74,952,652.23
  5. Step 5: Solve for x
    x = 74,952,652.23/9,940.30
  6. Step 6: Final answer
    x = 7,540.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.